SOLUTION: THE ATTENDANCE AT A SCHOOL CONCERT WAS 578.
ADMISSION COST $2.00 FOR ADULTS AND $1.50 FOR CHILDREN.
THE RECEIPTS WERE $985.00.
HOW MANY ADULTS AND HOW MANY CHILDREN ATTENDED THE
Algebra.Com
Question 185146: THE ATTENDANCE AT A SCHOOL CONCERT WAS 578.
ADMISSION COST $2.00 FOR ADULTS AND $1.50 FOR CHILDREN.
THE RECEIPTS WERE $985.00.
HOW MANY ADULTS AND HOW MANY CHILDREN ATTENDED THE CONCERT?
Answer by jigs_ipan(5) (Show Source): You can put this solution on YOUR website!
solution:
let x be the number of adult attented
let y be the number of children attended
given:
cost of adult = $2.00
cost of child = $1.50
x + y = 578 (equation 1)
2.00x + 1.50y = 985 (equation 2)
x + y = 578 => x = 578 - y (equation 3)
2.00(578 - y) + 1.50y = 985 (substituting the value of x in eq. 1 to eq. 2)
1156 - 2.00y + 1.50y = 985
-2.00y + 1.50y = 985 - 1156
-0.50y = -171 (diving both sides by -0.50)
y = 342
x = 578 - y (eq. 3)
x = 578 - (342) (substituting the value of y which is 342))
x = 236
therefore, the number of adults attended the concert was 236 and the number of children attended was 342...
RELATED QUESTIONS
there were 620 people at a play. The admission was $2 for adults and $1 for children. The (answered by josgarithmetic)
If 125 people attend a concert and tickets for adults cost $4.00 while tickets for... (answered by greenestamps)
There were 360 people at a play. The admission price was $2 for adults and $1 for... (answered by ewatrrr)
Solve the problem. There were 420 people at a play. The admission price was $2 for adults (answered by lynnlo)
There were 510 people at a play. The admission price was 2 for adults and 1 for children. (answered by Maths68)
There were 610 people at a play. The admission price was 2$ for adults and 1$ for... (answered by chana)
There were 480 people at a play. The admission price was $2 for adults and $1 for... (answered by Alan3354)
There were 430 people at a play. The admission price was $3 for adults and $1 for... (answered by stanbon)
There were 460 people at a play. The admission price was $3 for adults and $1 for... (answered by Cromlix)
there were 619 people at a play. the admission price was 3$ for adults and $1 for... (answered by josgarithmetic)